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Simplifying 3(2f + 1) + -2f = 13 + -1f Reorder the terms: 3(1 + 2f) + -2f = 13 + -1f (1 * 3 + 2f * 3) + -2f = 13 + -1f (3 + 6f) + -2f = 13 + -1f Combine like terms: 6f + -2f = 4f 3 + 4f = 13 + -1f Solving 3 + 4f = 13 + -1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'f' to each side of the equation. 3 + 4f + f = 13 + -1f + f Combine like terms: 4f + f = 5f 3 + 5f = 13 + -1f + f Combine like terms: -1f + f = 0 3 + 5f = 13 + 0 3 + 5f = 13 Add '-3' to each side of the equation. 3 + -3 + 5f = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5f = 13 + -3 5f = 13 + -3 Combine like terms: 13 + -3 = 10 5f = 10 Divide each side by '5'. f = 2 Simplifying f = 2
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